2015年8月19日 · Suppose n and m are natural numbers" or "Let n and m be arbitrary natural numbers." The boundary between "let" and "suppose" feels blurry. When do I use "let" and "suppose" in a math proof?

Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

2015年1月25日 · Recently I learned an amazing thing. Suppose you are given a number and you have to find how many positive divisors it has. What would you do ? Solution: Suppose you select $12$. It has $1,2,3,4,6,12$ as its divisors; so, total number of divisors of $12$ is $6$. Now the method I learned:

Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

2019年12月8日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Suppose there are 3 colored marbles (Red, Blue, Green). There are 10 red, 20 blue, 30 green marbles. You select 2 marbles without replacement. What is the probability that they are the same colors? My solution: $10 \choose 2$ ways to choose 2 red $20 \choose 2$ ways to choose 2 blue

For part 1, if there were a subsequence that didn't converge to the same limit, then we could find a neighborhood around the original point such that infinitely-many subsequence terms were outside the neighborhood.

2017年4月17日 · $\begingroup$ @Hi-Angel: Suppose you toss two coins (call them A and B) at the same time. What is probability that at least one of them shows heads? This is asking about the union. What is the probability that both show heads? This is …

2015年11月11日 · Suppose that we roll a six-sided die ten times. What is the probability that the total of all ten rolls is ...